What is the Least Common Multiple of 92783 and 92798?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92783 and 92798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92783 and 92798, than apply into the LCM equation.

GCF(92783,92798) = 1
LCM(92783,92798) = ( 92783 × 92798) / 1
LCM(92783,92798) = 8610076834 / 1
LCM(92783,92798) = 8610076834

Least Common Multiple (LCM) of 92783 and 92798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92783 and 92798. First we will calculate the prime factors of 92783 and 92798.

Prime Factorization of 92783

Prime Factorization of 92798

Now multiplying the highest exponent prime factors to calculate the LCM of 92783 and 92798.

LCM(92783,92798) = 31¹ × 41¹ × 73¹ × 2¹ × 46399¹
LCM(92783,92798) = 8610076834